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Finding the Third Proportional to 8,222.34 and 18,006.47

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Solution

The third proportional to 8,222.34 and 18,006.47 is: 39,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.34 : 18,006.47 = 18,006.47 : x
  2. Step 2: Convert to fraction form
    8,222.34/18,006.47 = 18,006.47/x
  3. Step 3: Cross multiply
    8,222.34x = 18,006.47 × 18,006.47
  4. Step 4: Simplify right side
    8,222.34x = 324,232,916.84
  5. Step 5: Solve for x
    x = 324,232,916.84/8,222.34
  6. Step 6: Final answer
    x = 39,433.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.